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UKMT Grey Kangaroo, 2019

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

The integers from 1 to $n$ , inclusive, are equally spaced in order round a circle. The diameter through the position of the integer 7 also goes through the position of 23, as shown. What is the value of $n$ ?

(A) $30$ (B) $32$ (C) $34$ (D) $36$ (E) $38$

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